How do you solve #-3.45- 2.3( 8.6) \div 0.5#?

1 Answer
Oct 27, 2017

# - 4301/100#

Explanation:

#- 3.45 - 2.3 (8.6) div 0.5#

Rearrange!

#-3.45/100 - 2.3/10 (8.6/10) div 0.5/10#

#- 345/100 - 23/10 (86/10) div 5/10#

Using the rule of BODMAS..

Therefore we'll solve the Bracket and Division First!

Bracket!

#- 345/100 - (23 xx 86)/(10 xx 10) div 5/10#

#- 345/100 - 1978/100 div 5/10#

Division!

#- 345/100 - 1978/100 div 5/10#

#- 345/100 - 1978/100 xx 10/5#

#- 345/100 - 1978/cancel100_10 xx cancel10^1/5#

#- 345/100 - 1978/10 xx 1/5#

Multiplication!

#- 345/100 - 1978/10 xx 1/5#

#- 345/100 - (1978 xx 1)/(10 xx 5)#

#- 345/100 - 1978/50#

Subtraction!

#- 345/100 - 1978/50#

Taking LCM..

#(- 345 - (2 xx 1978))/100#

#(-345 - 3956)/100#

# - 4301/100#